TSTP Solution File: SWV401+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:45:27 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 95 ( 8 unt; 0 def)
% Number of atoms : 273 ( 37 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 283 ( 105 ~; 105 |; 43 &)
% ( 12 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 211 ( 177 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f434,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f194,f220,f249,f255,f294,f304,f311,f400,f418,f433]) ).
fof(f433,plain,
spl6_28,
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| spl6_28 ),
inference(resolution,[],[f399,f94]) ).
fof(f94,plain,
! [X2,X3,X4] : pair_in_list(insert_slb(X4,pair(X3,X2)),X3,X2),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X1,X4] :
( pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X2)
| X1 != X3 ),
inference(equality_resolution,[],[f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0)
| X0 != X2
| X1 != X3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4] :
( ( ( X0 = X2
& X1 = X3 )
| pair_in_list(X4,X1,X0)
| ~ pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0) )
& ( pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0)
| ( ( X0 != X2
| X1 != X3 )
& ~ pair_in_list(X4,X1,X0) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X4,X3,X1,X2,X0] :
( ( ( X1 = X4
& X2 = X3 )
| pair_in_list(X0,X3,X4)
| ~ pair_in_list(insert_slb(X0,pair(X2,X1)),X3,X4) )
& ( pair_in_list(insert_slb(X0,pair(X2,X1)),X3,X4)
| ( ( X1 != X4
| X2 != X3 )
& ~ pair_in_list(X0,X3,X4) ) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X4,X3,X1,X2,X0] :
( ( ( X1 = X4
& X2 = X3 )
| pair_in_list(X0,X3,X4)
| ~ pair_in_list(insert_slb(X0,pair(X2,X1)),X3,X4) )
& ( pair_in_list(insert_slb(X0,pair(X2,X1)),X3,X4)
| ( ( X1 != X4
| X2 != X3 )
& ~ pair_in_list(X0,X3,X4) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X4,X3,X1,X2,X0] :
( ( ( X1 = X4
& X2 = X3 )
| pair_in_list(X0,X3,X4) )
<=> pair_in_list(insert_slb(X0,pair(X2,X1)),X3,X4) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3,X1,X2,X4] :
( ( pair_in_list(X0,X2,X4)
| ( X1 = X2
& X3 = X4 ) )
<=> pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f399,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK1,sK3)
| spl6_28 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl6_28
<=> pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f418,plain,
( spl6_13
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f410,f191,f213]) ).
fof(f213,plain,
( spl6_13
<=> less_than(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f191,plain,
( spl6_10
<=> sK4 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f410,plain,
( less_than(sK2,sK3)
| ~ spl6_10 ),
inference(resolution,[],[f318,f96]) ).
fof(f96,plain,
! [X0] : less_than(X0,X0),
inference(factoring,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f318,plain,
( ! [X0] :
( ~ less_than(X0,sK2)
| less_than(X0,sK3) )
| ~ spl6_10 ),
inference(backward_demodulation,[],[f112,f193]) ).
fof(f193,plain,
( sK4 = sK3
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f112,plain,
! [X0] :
( ~ less_than(X0,sK2)
| less_than(X0,sK4) ),
inference(resolution,[],[f87,f84]) ).
fof(f84,plain,
less_than(sK2,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X1,X2,X3] :
( ~ pair_in_list(sK0,X2,X1)
| ~ less_than(X3,X1)
| pair_in_list(update_slb(sK0,X3),X2,X1) )
& pair_in_list(insert_slb(sK0,pair(sK1,sK3)),sK5,sK4)
& less_than(sK2,sK4)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK3)),sK2),sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f58,f60,f59]) ).
fof(f59,plain,
( ? [X0] :
( ! [X1,X2,X3] :
( ~ pair_in_list(X0,X2,X1)
| ~ less_than(X3,X1)
| pair_in_list(update_slb(X0,X3),X2,X1) )
& ? [X4,X5,X6,X7,X8] :
( pair_in_list(insert_slb(X0,pair(X4,X6)),X8,X7)
& less_than(X5,X7)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X6)),X5),X8,X7) ) )
=> ( ! [X3,X2,X1] :
( ~ pair_in_list(sK0,X2,X1)
| ~ less_than(X3,X1)
| pair_in_list(update_slb(sK0,X3),X2,X1) )
& ? [X8,X7,X6,X5,X4] :
( pair_in_list(insert_slb(sK0,pair(X4,X6)),X8,X7)
& less_than(X5,X7)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(X4,X6)),X5),X8,X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X8,X7,X6,X5,X4] :
( pair_in_list(insert_slb(sK0,pair(X4,X6)),X8,X7)
& less_than(X5,X7)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(X4,X6)),X5),X8,X7) )
=> ( pair_in_list(insert_slb(sK0,pair(sK1,sK3)),sK5,sK4)
& less_than(sK2,sK4)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK3)),sK2),sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( ! [X1,X2,X3] :
( ~ pair_in_list(X0,X2,X1)
| ~ less_than(X3,X1)
| pair_in_list(update_slb(X0,X3),X2,X1) )
& ? [X4,X5,X6,X7,X8] :
( pair_in_list(insert_slb(X0,pair(X4,X6)),X8,X7)
& less_than(X5,X7)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X6)),X5),X8,X7) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ! [X3,X2,X1] :
( ~ pair_in_list(X0,X2,X3)
| ~ less_than(X1,X3)
| pair_in_list(update_slb(X0,X1),X2,X3) )
& ? [X5,X7,X8,X6,X4] :
( pair_in_list(insert_slb(X0,pair(X5,X8)),X4,X6)
& less_than(X7,X6)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X5,X8)),X7),X4,X6) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0] :
( ? [X5,X7,X4,X6,X8] :
( ~ pair_in_list(update_slb(insert_slb(X0,pair(X5,X8)),X7),X4,X6)
& less_than(X7,X6)
& pair_in_list(insert_slb(X0,pair(X5,X8)),X4,X6) )
& ! [X3,X1,X2] :
( pair_in_list(update_slb(X0,X1),X2,X3)
| ~ pair_in_list(X0,X2,X3)
| ~ less_than(X1,X3) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] :
( ! [X3,X1,X2] :
( ( pair_in_list(X0,X2,X3)
& less_than(X1,X3) )
=> pair_in_list(update_slb(X0,X1),X2,X3) )
=> ! [X5,X7,X4,X6,X8] :
( ( less_than(X7,X6)
& pair_in_list(insert_slb(X0,pair(X5,X8)),X4,X6) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X5,X8)),X7),X4,X6) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X3,X1,X2] :
( ( less_than(X3,X2)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X2) )
=> ! [X4,X7,X5,X6,X8] :
( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& less_than(X6,X5) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ! [X3,X1,X2] :
( ( less_than(X3,X2)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X2) )
=> ! [X4,X7,X5,X6,X8] :
( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& less_than(X6,X5) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l37_co) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ less_than(X2,X0)
| ~ less_than(X1,X2)
| less_than(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ less_than(X2,X0)
| ~ less_than(X1,X2)
| less_than(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( ~ less_than(X1,X0)
| ~ less_than(X2,X1)
| less_than(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( less_than(X2,X0)
| ~ less_than(X1,X0)
| ~ less_than(X2,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( less_than(X1,X0)
& less_than(X2,X1) )
=> less_than(X2,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( ( less_than(X0,X1)
& less_than(X1,X2) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f400,plain,
( ~ spl6_13
| ~ spl6_28
| ~ spl6_8
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f390,f191,f166,f397,f213]) ).
fof(f166,plain,
( spl6_8
<=> sK1 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f390,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK1,sK3)
| ~ less_than(sK2,sK3)
| ~ spl6_8
| ~ spl6_10 ),
inference(superposition,[],[f387,f76]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( insert_slb(update_slb(X1,X0),pair(X3,X2)) = update_slb(insert_slb(X1,pair(X3,X2)),X0)
| ~ less_than(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( insert_slb(update_slb(X1,X0),pair(X3,X2)) = update_slb(insert_slb(X1,pair(X3,X2)),X0)
| ~ less_than(X0,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X3,X0] :
( insert_slb(update_slb(X2,X1),pair(X0,X3)) = update_slb(insert_slb(X2,pair(X0,X3)),X1)
| ~ less_than(X1,X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( less_than(X1,X3)
=> insert_slb(update_slb(X2,X1),pair(X0,X3)) = update_slb(insert_slb(X2,pair(X0,X3)),X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X2,X0,X3] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f387,plain,
( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK3)),sK2),sK1,sK3)
| ~ spl6_8
| ~ spl6_10 ),
inference(forward_demodulation,[],[f314,f193]) ).
fof(f314,plain,
( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK3)),sK2),sK1,sK4)
| ~ spl6_8 ),
inference(backward_demodulation,[],[f83,f168]) ).
fof(f168,plain,
( sK1 = sK5
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f83,plain,
~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK3)),sK2),sK5,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f311,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_16 ),
inference(avatar_split_clause,[],[f310,f246,f182,f162]) ).
fof(f162,plain,
( spl6_7
<=> pair_in_list(sK0,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f182,plain,
( spl6_9
<=> less_than(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f246,plain,
( spl6_16
<=> pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK2)),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f310,plain,
( ~ less_than(sK2,sK4)
| ~ pair_in_list(sK0,sK5,sK4)
| spl6_16 ),
inference(resolution,[],[f274,f86]) ).
fof(f86,plain,
! [X2,X3,X1] :
( pair_in_list(update_slb(sK0,X3),X2,X1)
| ~ pair_in_list(sK0,X2,X1)
| ~ less_than(X3,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f274,plain,
( ~ pair_in_list(update_slb(sK0,sK2),sK5,sK4)
| spl6_16 ),
inference(resolution,[],[f248,f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0)
| ~ pair_in_list(X4,X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f248,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK2)),sK5,sK4)
| spl6_16 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f304,plain,
spl6_9,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl6_9 ),
inference(resolution,[],[f183,f84]) ).
fof(f183,plain,
( ~ less_than(sK2,sK4)
| spl6_9 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f294,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_14 ),
inference(avatar_split_clause,[],[f293,f217,f182,f162]) ).
fof(f217,plain,
( spl6_14
<=> pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f293,plain,
( ~ less_than(sK2,sK4)
| ~ pair_in_list(sK0,sK5,sK4)
| spl6_14 ),
inference(resolution,[],[f273,f86]) ).
fof(f273,plain,
( ~ pair_in_list(update_slb(sK0,sK2),sK5,sK4)
| spl6_14 ),
inference(resolution,[],[f219,f69]) ).
fof(f219,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK5,sK4)
| spl6_14 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f255,plain,
( spl6_13
| spl6_15
| spl6_13 ),
inference(avatar_split_clause,[],[f254,f213,f242,f213]) ).
fof(f242,plain,
( spl6_15
<=> strictly_less_than(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f254,plain,
( strictly_less_than(sK3,sK2)
| less_than(sK2,sK3)
| spl6_13 ),
inference(resolution,[],[f251,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
<=> strictly_less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f251,plain,
( less_than(sK3,sK2)
| spl6_13 ),
inference(resolution,[],[f215,f82]) ).
fof(f215,plain,
( ~ less_than(sK2,sK3)
| spl6_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f249,plain,
( ~ spl6_15
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f239,f246,f242]) ).
fof(f239,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK2)),sK5,sK4)
| ~ strictly_less_than(sK3,sK2) ),
inference(superposition,[],[f83,f92]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( insert_slb(update_slb(X3,X1),pair(X0,X1)) = update_slb(insert_slb(X3,pair(X0,X2)),X1)
| ~ strictly_less_than(X2,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( insert_slb(update_slb(X3,X1),pair(X0,X1)) = update_slb(insert_slb(X3,pair(X0,X2)),X1)
| ~ strictly_less_than(X2,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X3,X1,X0] :
( update_slb(insert_slb(X0,pair(X2,X1)),X3) = insert_slb(update_slb(X0,X3),pair(X2,X3))
| ~ strictly_less_than(X1,X3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0,X3] :
( strictly_less_than(X1,X3)
=> update_slb(insert_slb(X0,pair(X2,X1)),X3) = insert_slb(update_slb(X0,X3),pair(X2,X3)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X3,X1,X2] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f220,plain,
( ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f211,f217,f213]) ).
fof(f211,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK2),pair(sK1,sK3)),sK5,sK4)
| ~ less_than(sK2,sK3) ),
inference(superposition,[],[f83,f76]) ).
fof(f194,plain,
( spl6_10
| spl6_7 ),
inference(avatar_split_clause,[],[f187,f162,f191]) ).
fof(f187,plain,
( pair_in_list(sK0,sK5,sK4)
| sK4 = sK3 ),
inference(resolution,[],[f72,f85]) ).
fof(f85,plain,
pair_in_list(insert_slb(sK0,pair(sK1,sK3)),sK5,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0)
| pair_in_list(X4,X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f169,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f158,f166,f162]) ).
fof(f158,plain,
( sK1 = sK5
| pair_in_list(sK0,sK5,sK4) ),
inference(resolution,[],[f71,f85]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X4,pair(X3,X2)),X1,X0)
| X1 = X3
| pair_in_list(X4,X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:07:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (3946)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.48 % (3954)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (3954)Instruction limit reached!
% 0.19/0.48 % (3954)------------------------------
% 0.19/0.48 % (3954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (3954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (3954)Termination reason: Unknown
% 0.19/0.48 % (3954)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (3954)Memory used [KB]: 6012
% 0.19/0.48 % (3954)Time elapsed: 0.084 s
% 0.19/0.48 % (3954)Instructions burned: 7 (million)
% 0.19/0.48 % (3954)------------------------------
% 0.19/0.48 % (3954)------------------------------
% 0.19/0.50 % (3946)Instruction limit reached!
% 0.19/0.50 % (3946)------------------------------
% 0.19/0.50 % (3946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3946)Termination reason: Unknown
% 0.19/0.50 % (3946)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3946)Memory used [KB]: 6268
% 0.19/0.50 % (3946)Time elapsed: 0.088 s
% 0.19/0.50 % (3946)Instructions burned: 39 (million)
% 0.19/0.50 % (3946)------------------------------
% 0.19/0.50 % (3946)------------------------------
% 0.19/0.52 % (3953)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (3942)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (3962)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (3940)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (3941)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (3944)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (3943)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (3963)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (3941)Instruction limit reached!
% 0.19/0.53 % (3941)------------------------------
% 0.19/0.53 % (3941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3941)Termination reason: Unknown
% 0.19/0.53 % (3941)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (3941)Memory used [KB]: 5884
% 0.19/0.53 % (3941)Time elapsed: 0.125 s
% 0.19/0.53 % (3941)Instructions burned: 3 (million)
% 0.19/0.53 % (3941)------------------------------
% 0.19/0.53 % (3941)------------------------------
% 0.19/0.53 % (3952)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3939)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (3951)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (3945)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (3966)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54 % (3956)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (3961)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.54 % (3965)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (3968)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (3953)Instruction limit reached!
% 0.19/0.54 % (3953)------------------------------
% 0.19/0.54 % (3953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (3953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (3953)Termination reason: Unknown
% 0.19/0.54 % (3953)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (3953)Memory used [KB]: 5884
% 0.19/0.54 % (3953)Time elapsed: 0.004 s
% 0.19/0.54 % (3953)Instructions burned: 3 (million)
% 0.19/0.54 % (3953)------------------------------
% 0.19/0.54 % (3953)------------------------------
% 0.19/0.54 % (3958)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (3967)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (3964)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.55 % (3960)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (3955)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (3949)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.55 % (3950)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (3959)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.55 % (3948)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.55 % (3940)Instruction limit reached!
% 0.19/0.55 % (3940)------------------------------
% 0.19/0.55 % (3940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3940)Termination reason: Unknown
% 0.19/0.55 % (3940)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (3940)Memory used [KB]: 6140
% 0.19/0.55 % (3940)Time elapsed: 0.154 s
% 0.19/0.55 % (3940)Instructions burned: 13 (million)
% 0.19/0.55 % (3940)------------------------------
% 0.19/0.55 % (3940)------------------------------
% 0.19/0.55 % (3956)Instruction limit reached!
% 0.19/0.55 % (3956)------------------------------
% 0.19/0.55 % (3956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3956)Termination reason: Unknown
% 0.19/0.55 % (3956)Termination phase: Finite model building preprocessing
% 0.19/0.55
% 0.19/0.55 % (3956)Memory used [KB]: 1407
% 0.19/0.55 % (3956)Time elapsed: 0.002 s
% 0.19/0.55 % (3956)Instructions burned: 3 (million)
% 0.19/0.55 % (3956)------------------------------
% 0.19/0.55 % (3956)------------------------------
% 0.19/0.55 % (3943)Instruction limit reached!
% 0.19/0.55 % (3943)------------------------------
% 0.19/0.55 % (3943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3943)Termination reason: Unknown
% 0.19/0.55 % (3943)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (3943)Memory used [KB]: 6012
% 0.19/0.55 % (3943)Time elapsed: 0.159 s
% 0.19/0.55 % (3943)Instructions burned: 13 (million)
% 0.19/0.55 % (3943)------------------------------
% 0.19/0.55 % (3943)------------------------------
% 0.19/0.55 % (3944)Instruction limit reached!
% 0.19/0.55 % (3944)------------------------------
% 0.19/0.55 % (3944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3944)Termination reason: Unknown
% 0.19/0.55 % (3944)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (3944)Memory used [KB]: 1535
% 0.19/0.55 % (3944)Time elapsed: 0.161 s
% 0.19/0.55 % (3944)Instructions burned: 16 (million)
% 0.19/0.55 % (3944)------------------------------
% 0.19/0.55 % (3944)------------------------------
% 0.19/0.55 % (3961)First to succeed.
% 0.19/0.56 % (3957)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (3951)Instruction limit reached!
% 0.19/0.56 % (3951)------------------------------
% 0.19/0.56 % (3951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (3951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (3951)Termination reason: Unknown
% 0.19/0.56 % (3951)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (3951)Memory used [KB]: 1535
% 0.19/0.56 % (3951)Time elapsed: 0.139 s
% 0.19/0.56 % (3951)Instructions burned: 17 (million)
% 0.19/0.56 % (3951)------------------------------
% 0.19/0.56 % (3951)------------------------------
% 0.19/0.56 % (3967)Refutation not found, incomplete strategy% (3967)------------------------------
% 0.19/0.56 % (3967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (3967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (3967)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (3967)Memory used [KB]: 6012
% 0.19/0.56 % (3967)Time elapsed: 0.147 s
% 0.19/0.56 % (3967)Instructions burned: 3 (million)
% 0.19/0.56 % (3967)------------------------------
% 0.19/0.56 % (3967)------------------------------
% 0.19/0.56 % (3957)Instruction limit reached!
% 0.19/0.56 % (3957)------------------------------
% 0.19/0.56 % (3957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (3957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (3957)Termination reason: Unknown
% 0.19/0.56 % (3957)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (3957)Memory used [KB]: 5884
% 0.19/0.56 % (3957)Time elapsed: 0.156 s
% 0.19/0.56 % (3957)Instructions burned: 3 (million)
% 0.19/0.56 % (3957)------------------------------
% 0.19/0.56 % (3957)------------------------------
% 0.19/0.56 % (3961)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (3961)------------------------------
% 0.19/0.56 % (3961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (3961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (3961)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (3961)Memory used [KB]: 6140
% 0.19/0.56 % (3961)Time elapsed: 0.107 s
% 0.19/0.56 % (3961)Instructions burned: 9 (million)
% 0.19/0.56 % (3961)------------------------------
% 0.19/0.56 % (3961)------------------------------
% 0.19/0.56 % (3938)Success in time 0.205 s
%------------------------------------------------------------------------------